Science, asked by uttamdervaliya124, 3 months ago

30. State Newton’s second law of motion. Derive F = ma​

Answers

Answered by Anonymous
30

Answer:

Newton’s second law of motion can be stated as the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v.Here we see that, the initial momentum

p1 = m × u

the final momentum

p2 = m × v

The change in momentum is

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

The rate of change of momentum with respect to time is proportional to the applied force. The applied force is

F ∝ m (v – u)/t

or

F ∝ m × a

a = Rate of change of velocity/Time

F = k × m × a

k = proportionality constant.

Hence from the second law of motion, we get force is the product of mass and acceleration i.e F = ma

Answered by saranyasripns
3

Answer:

Newton's second law states that the acceleration of an object is directly related to the net force and inversely related to its mass. Acceleration of an object depends on two things, force and mass.

Explanation:

f is proportional to change in momentum / time

f is proportional to mv-mu/t

f is proportional to m(v-u/t)

f is proportional to ma

f=kma (.: a=v-u/t)

f=ma (.: k is constant)

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